Apply the Pythagorean Theorem to find the length between the two points. Round your answer to the nearest hundredth, if necessary. (1 point) Responses 73 73 7.62 7.62 11 11 8.54
51
B (5,5).
4-
3-
2-
1
5-4-3-2-18 -3
5
3
2
1
0
-1
-2-
-3-
-4-
-5-
A (2,3)
4
- -5
-4
-2
-1
To find the distance between the two points A(2,3) and B(5,5), we can use the Pythagorean Theorem which states that the hypotenuse of a right triangle is equal to the square root of the sum of the squares of the other two sides.
Using the coordinates, we can calculate the length of the two sides of the triangle:
Side 1: difference in x-coordinates = 5 - 2 = 3 units
Side 2: difference in y-coordinates = 5 - 3 = 2 units
Now, we can plug these values into the Pythagorean Theorem formula:
c^2 = a^2 + b^2
c^2 = 3^2 + 2^2
c^2 = 9 + 4
c^2 = 13
Taking the square root of 13 gives us the length of the hypotenuse (the distance between the two points):
c ≈ √13 ≈ 3.61
Rounded to the nearest hundredth, the distance between points A(2,3) and B(5,5) is approximately 3.61 units.